What is the Greatest Common Factor of 32475 and 32495?

Greatest common factor (GCF) of 32475 and 32495 is 5.

GCF(32475,32495) = 5

We will now calculate the prime factors of 32475 and 32495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32475 and 32495.

How to find the GCF of 32475 and 32495?

We will first find the prime factorization of 32475 and 32495. After we will calculate the factors of 32475 and 32495 and find the biggest common factor number .

Step-1: Prime Factorization of 32475

Prime factors of 32475 are 3, 5, 433. Prime factorization of 32475 in exponential form is:

32475 = 3¹ × 5² × 433¹

Step-2: Prime Factorization of 32495

Prime factors of 32495 are 5, 67, 97. Prime factorization of 32495 in exponential form is:

32495 = 5¹ × 67¹ × 97¹

Step-3: Factors of 32475

List of positive integer factors of 32475 that divides 32475 without a remainder.

1, 3, 5, 15, 25, 75, 433, 1299, 2165, 6495, 10825

Step-4: Factors of 32495

List of positive integer factors of 32495 that divides 32475 without a remainder.

1, 5, 67, 97, 335, 485, 6499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32475 and 32495. The biggest common factor number is the GCF number.
So the greatest common factor 32475 and 32495 is 5.

Also check out the Least Common Multiple of 32475 and 32495